Learned by Reading
In Wikipedia:
In mathematics the Schur indicator’ “, named after Issai Schur, or” ’Frobenius – Schur indicator’ “describes what invariant bilinear forms a given irreducible representation of a compact group on a complex vector space has, and can be used to classify the irreducible representations of compact groups on real vector spaces.
(Parse)
(S1 (FRAG (PP (IN In)
(NP (NNS mathematics)))
(NP (DT the) (NNP Schur) (NN indicator) (POS ')) ('' '') (PRN (, ,)
(S (VP (VBN named)
(PP (IN after)
(NP (NNP Issai) (NNP Schur)))))
(, ,)) (CC or) ('' '')
(NP (NN 'Frobenius)) (: -)
(S (NP (NNP Schur) (NN indicator)) ('' ') ('' '')
(VP (VBZ describes)
(SBAR (WHNP (WP what))
(S (NP (JJ invariant) (NN bilinear))
(VP (VBZ forms)
(SBAR (S (NP (NP (DT a) (VBN given) (JJ irreducible) (NN representation))
(PP (IN of)
(NP (DT a) (JJ compact) (NN group)))
(PP (IN on)
(NP (DT a) (JJ complex) (NN vector) (NN space))))
(VP (VP (AUX has)) (, ,) (CC and)
(VP (MD can)
(VP (AUX be)
(VP (VBN used)
(S (VP (TO to)
(VP (VB classify)
(NP (NP (DT the) (JJ irreducible) (NNS representations))
(PP (IN of)
(NP (JJ compact) (NNS groups))))
(PP (IN on)
(NP (JJ real) (NN vector) (NNS spaces)))))
(. .)))
In Wikipedia:
Continuous and coercive bilinear forms.
(Parse)
(S1 (S (NP (ADJP (JJ Continuous) (CC and) (JJ coercive)) (NN bilinear))
(VP (VBZ forms)) (. .)))